document.write( "Question 306959: In the period of a year, an investor lost twice as much as he gained. If he originally had $10,000 and now has $6000, what amount did he gain and what did he lose? \n" ); document.write( "
Algebra.Com's Answer #219614 by ichudov(507)\"\" \"About 
You can put this solution on YOUR website!
Let's say he gained X dollars and then lost 2X dollars. \r
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Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:

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  • This is an equation! Solutions: X=4000.
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  • Graphical form: Equation \"10000%2BX-2X=6000\" was fully solved.
  • Text form: 10000+X-2X=6000 simplifies to 0=0
  • Cartoon (animation) form: \"simplify_cartoon%28+10000%2BX-2X=6000+%29\"
    For tutors: simplify_cartoon( 10000+X-2X=6000 )
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  • If you have a website, here's a link to this solution.
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DETAILED EXPLANATION

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Look at \"highlight_red%28+10000+%29%2BX-2%2AX=6000\".
Moved \"10000\" to the right of expression
It becomes \"X-2%2AX%2Bhighlight_green%28+10000+%29=6000\".
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Look at \"highlight_red%28+X+%29-highlight_red%28+2%2AX+%29%2B10000=6000\".
Eliminated similar terms \"highlight_red%28+X+%29\",\"highlight_red%28+-2%2AX+%29\" replacing them with \"highlight_green%28+%281-2%29%2AX+%29\"
It becomes \"highlight_green%28+%281-2%29%2AX+%29%2B10000=6000\".
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Look at \"%28highlight_red%28+1+%29-highlight_red%28+2+%29%29%2AX%2B10000=6000\".
Added fractions or integers together
It becomes \"%28highlight_green%28+-1+%29%29%2AX%2B10000=6000\".
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Look at \"%28highlight_red%28+-1+%29%29%2AX%2B10000=6000\".
Removed extra sign in front of \"-1\"
It becomes \"%28-highlight_green%28+1+%29%29%2AX%2B10000=6000\".
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Look at \"highlight_red%28+%28-highlight_red%28+1+%29%29%2AX+%29%2B10000=6000\".
Remove unneeded parentheses around factor \"highlight_red%28+1+%29\"
It becomes \"-highlight_green%28+1+%29%2AX%2B10000=6000\".
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Look at \"-highlight_red%28+1+%29%2AX%2B10000=6000\".
Remove extraneous '1' from product \"highlight_red%28+1+%29\"
It becomes \"-X%2B10000=6000\".
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Look at \"-X%2B10000=highlight_red%28+6000+%29\".
Moved these terms to the left \"highlight_green%28+-6000+%29\"
It becomes \"-X%2B10000-highlight_green%28+6000+%29=0\".
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Look at \"-X%2Bhighlight_red%28+10000+%29-highlight_red%28+6000+%29=0\".
Added fractions or integers together
It becomes \"-X%2Bhighlight_green%28+4000+%29=0\".
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Look at \"highlight_red%28+-X%2B4000+%29=0\".
Solved linear equation \"highlight_red%28+-X%2B4000=0+%29\" equivalent to -X+4000 =0
It becomes \"highlight_green%28+0+%29=0\".
Result: \"0=0\"
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Universal Simplifier and Solver

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Done!
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